Does this series converge or diverge? I know 1 diverges, but what about 0; my guts are telling me it converges.?
回答 (4)
2017-03-25 12:24 am
the nth partial sum S_n = 0*n = 0
S_n = 0
lim n→∞
So it converges to 0.
S_n = 0
lim n→∞
So it converges to 0.
2017-03-24 4:47 pm
If you want to use x, then you need x variable in the summation. It is absent.So you will have no series and the argument is meaning less. if you want to use sum over x, then x should have values 1,2, 3 etc. This problem is meaningless.
2017-03-24 10:49 am
It converges.
It is always 0 and stays at 0 .
The sum is 0 always also.
remember any geometric series with r between 0<=x < 1
Its sums converges
this is a geometric series with r = 0
It is always 0 and stays at 0 .
The sum is 0 always also.
remember any geometric series with r between 0<=x < 1
Its sums converges
this is a geometric series with r = 0
2017-03-24 10:48 am
It is bounded, so it converges.
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